… to be enjoyed by the Gorenstein flat dimension. In Sec. 3, we prove that the finitistic
dimension associated to the cover Gorenstein flat dimension of an arbitrary ring R, denoted by …

… Besides the Gorenstein flat dimension of an R-module M, also the … the Gorenstein flat
dimension via resolutions, and show how the Tor-functors can be used to measure this dimension …

… If M is a module of finite flat dimension, then M has finite Gorenstein flat dimension as well
… note that any Gorenstein flat module of finite projective dimension is necessarily flat. Indeed, …

… –dimension of finitely generated modules; see [49]. Before describing the criteria for finiteness
of Gorenstein projective, injective and flat dimensions, … of finite Gorenstein dimensions, we …

… In chapter 5 the Gorenstein flat dimension - a refinement of the usual flat dimension is
examined. The Gorenstein flat and projective dimensions behave much like the usual …

… only if the Gorenstein flat dimension and the generalized Gorenstein flat dimension coincide.
… The goal of this section is to introduce and study the generalized Gorenstein flat dimension. …

… that the Gorenstein flat dimension is a refinement of the classical flat dimension over any ring;
and we … the relations between the Gorenstein projective dimension and the Gorenstein flat …

… Gorenstein flat dimension, precisely on modules possessing a flat resolution with a certain
Gorenstein flat … in [12, Lemma 3.3], that if G is a Gorenstein flat R-module and H is a right R-…

… of finite Gorenstein projective, injective and flat dimensions. We … all Gorenstein projective
modules are Gorenstein flat and … of the Gorenstein Tor-functor for modules of finite Gorenstein …

… Let Q be a right R-module with finite injective dimension. Applying the functor Q ⊗R − to this
… As R is left GF-closed and G1 is Gorenstein flat, we get M is a Gorenstein flat R-module, as …